Pith Number

pith:BULVPMIS

pith:2026:BULVPMISGQ7WV775B2CT6HPNIX

not attested not anchored not stored refs pending

A generalization of a representation of the integers modulo $p$, for the purpose of occasionally establishing the unsolvability of diophantine inequalities

Andr\'e Rognes

arxiv:2607.00757 v1 · 2026-07-01 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BULVPMISGQ7WV775B2CT6HPNIX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-02T01:17:54.582347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1757b112343f6afffd0e853f1ded45cf0b3153a9da143838a97663d172bd95

Aliases

arxiv: 2607.00757 · arxiv_version: 2607.00757v1 · doi: 10.48550/arxiv.2607.00757 · pith_short_12: BULVPMISGQ7W · pith_short_16: BULVPMISGQ7WV775 · pith_short_8: BULVPMIS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BULVPMISGQ7WV775B2CT6HPNIX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0d1757b112343f6afffd0e853f1ded45cf0b3153a9da143838a97663d172bd95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ba8847265d5baae133e07341b691b0be2257b97ec3081ac8357593e97d97f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-01T10:43:54Z",
    "title_canon_sha256": "62eb3d61599b153809aba75ba3a8268986b731b975d314fab5af27d9a32bfd16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00757",
    "kind": "arxiv",
    "version": 1
  }
}